Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17328d |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-75585909590784 = -1 · 28 · 316 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 3 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4129,-429203] |
[a1,a2,a3,a4,a6] |
Generators |
[478690:10346697:1000] |
Generators of the group modulo torsion |
j |
-4434684928/43046721 |
j-invariant |
L |
5.2040990436251 |
L(r)(E,1)/r! |
Ω |
0.2595726405457 |
Real period |
R |
5.0121798590603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8664m1 69312df1 51984o1 17328k1 |
Quadratic twists by: -4 8 -3 -19 |